A Riemann-Hilbert Approach to Slavnov Overlaps in the Lieb-Liniger model
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911079143047168 |
|---|---|
| author | Bettelheim, Eldad |
| author_facet | Bettelheim, Eldad |
| contents | We provide a method to compute Slavnov overlaps in the Lieb-Liniger model using the steepest descent method of the Riemann-Hilbert problem. To do so, we employ the Matsuo-Kostov Representation of the Slavnov overlaps to write an integral equation for the respective resolvent, and then represent this equation as a Riemann-Hilbert problem. We demonstrate the validity and applicability of the method by computing the Anderson orthogonality catastrophe in the $c\to\infty$ limit, corresponding to free fermions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19025 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Riemann-Hilbert Approach to Slavnov Overlaps in the Lieb-Liniger model Bettelheim, Eldad Strongly Correlated Electrons Mathematical Physics We provide a method to compute Slavnov overlaps in the Lieb-Liniger model using the steepest descent method of the Riemann-Hilbert problem. To do so, we employ the Matsuo-Kostov Representation of the Slavnov overlaps to write an integral equation for the respective resolvent, and then represent this equation as a Riemann-Hilbert problem. We demonstrate the validity and applicability of the method by computing the Anderson orthogonality catastrophe in the $c\to\infty$ limit, corresponding to free fermions. |
| title | A Riemann-Hilbert Approach to Slavnov Overlaps in the Lieb-Liniger model |
| topic | Strongly Correlated Electrons Mathematical Physics |
| url | https://arxiv.org/abs/2507.19025 |